1101121101211 has 16 divisors (see below), whose sum is σ = 1227299126400. Its totient is φ = 981769845888.

The previous prime is 1101121101203. The next prime is 1101121101217. The reversal of 1101121101211 is 1121011211011.

It is not a de Polignac number, because 1101121101211 - 2³ = 1101121101203 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101121101191 and 1101121101200.

It is not an unprimeable number, because it can be changed into a prime (1101121101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14580996 + ... + 14656318.

It is an arithmetic number, because the mean of its divisors is an integer number (76706195400).

Almost surely, 2^{1101121101211} is an apocalyptic number.

1101121101211 is a deficient number, since it is larger than the sum of its proper divisors (126178025189).

1101121101211 is a wasteful number, since it uses less digits than its factorization.

1101121101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120618.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1101121101211 its reverse (1121011211011), we get a palindrome (2222132312222).

The spelling of 1101121101211 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred eleven".